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树上的加法函数(英文)
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作者 鲍炎红 杜先能 《中国科学技术大学学报》 CAS CSCD 北大核心 2010年第12期1245-1248,1255,共5页
研究了图上加法函数与遗传代数表示之间的关系,刻画了具有非零加法函数的树的结构.进一步讨论了一类遗传代数的余秩及其 Gabriel箭图底图之间的关系.
关键词 遗传代数 加法函数 CARTAN矩阵 余秩
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一类球函数加法公式在多球体散射中的应用 被引量:3
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作者 吴九汇 王耀俊 李太宝 《声学学报》 EI CSCD 北大核心 2004年第3期238-243,共6页
首先利用格林函数的双中心球坐标展开式得到了一类球函数加法公式。对于多球体声学系统,可应用该加法公式将空间声场相对于每一个球体中心展开,这样可以很方便地利用每个球体的边界条件来研究多球体系统的声学散射问题。研究了两球体系... 首先利用格林函数的双中心球坐标展开式得到了一类球函数加法公式。对于多球体声学系统,可应用该加法公式将空间声场相对于每一个球体中心展开,这样可以很方便地利用每个球体的边界条件来研究多球体系统的声学散射问题。研究了两球体系统在不同边界条件下的散射声场,每个球的散射声场可通过求解由双重级数和耦合的两个无穷方程组得到。最后引入了形函数的定义,计算了两球体系统在平面波入射下的形函数,从而通过与现有文献的数值对比验证了本文理论公式的正确性。 展开更多
关键词 多球体散射 函数加法公式 格林函数 双中心球坐标展开 多球体声学系统 散射声场
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一类带有对合的函数方程在群上的解
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作者 林霞 赵侯宇 《科技视界》 2018年第23期209-210,共2页
主要讨论了一类函数方程解的情况,利用对合自同构在群上的性质,证明了该方程的解是一个加法函数。
关键词 函数方程 对合自同构 加法函数
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大气粒子散射相函数的参数化方案比较及其改进
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作者 刘琨 张峰 +3 位作者 吴琨 周秀骥 张华 刘仁强 《气象学报》 CAS CSCD 北大核心 2016年第5期784-795,共12页
大气粒子散射相函数的参数化是大气辐射传输参数化的重要组成部分。文中全面比较了大气粒子的HenyeyGreenstein(HG)方案和双Henyey-Greenstein(DHG)方案,并在四流球谐函数展开累加法中,应用这两种相函数参数化方案计算气溶胶、云、霾粒... 大气粒子散射相函数的参数化是大气辐射传输参数化的重要组成部分。文中全面比较了大气粒子的HenyeyGreenstein(HG)方案和双Henyey-Greenstein(DHG)方案,并在四流球谐函数展开累加法中,应用这两种相函数参数化方案计算气溶胶、云、霾粒子的反射率、透射率或吸收率。该研究结果表明:HG方案无法表现相函数的后向峰值,因而其计算的大气粒子反射率和透射率精度较差;DHG方案能较好地表征相函数的整体特征,但是该方案计算的相函数易出现后向异常峰值或为负值,并导致计算得到的气溶胶、云、霾粒子的反射率和透射率精度甚至会低于HG方案。对DHG方案进行进一步研究,提出了改进的DHG方案(MDHG)。MDHG方案计算结果稳定,并能很好表征相函数的前向和后向峰值的特征,其计算的大气粒子的反射率和透射率精度也较高。因此,MDHG方案是一种理想的相函数参数化方案。 展开更多
关键词 函数 参数化 Henyey-Greenstein(HG)方案 双Henyey-Greenstein(DHG)方案 改进的DHG(MDHG)方案 四流球谐函数展开累加法
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关于算术图的一个猜想
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作者 唐廷载 王建方 《曲阜师范大学学报(自然科学版)》 CAS 1993年第3期6-8,共3页
一个(p,q)—图G被称为是(k,d)—算术的,如果它所有顶点可以被分配到不同的非负整数,使得它的边值可以排列成算术级数k,k+d,k+2d,…,k+(q-1)d,其中一条边的值是分配到它的两个端点的数的和。一个图G被称为是算术的,如果存在两个正整数k和... 一个(p,q)—图G被称为是(k,d)—算术的,如果它所有顶点可以被分配到不同的非负整数,使得它的边值可以排列成算术级数k,k+d,k+2d,…,k+(q-1)d,其中一条边的值是分配到它的两个端点的数的和。一个图G被称为是算术的,如果存在两个正整数k和d使得它是(k,d)—算术的。本文证明了Acharya和Hegde提出的下述猜想:对任意正整数n≥5,K不是算术图。 展开更多
关键词 算术图 简单图 加法函数 函数
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自然变换函子的同调性质
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作者 宋新霞 《滨州学院学报》 2005年第6期75-77,共3页
研究了自然变换函子〈n〉的同调性质,得到函子〈n〉与F,G在忠实性和可加性之间的等价关系.
关键词 附加 自然变换函数 加法函数 忠实函子
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3D density inversion of gravity gradient data using the extrapolated Tikhonov regularization 被引量:4
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作者 刘金钊 柳林涛 +1 位作者 梁星辉 叶周润 《Applied Geophysics》 SCIE CSCD 2015年第2期137-146,273,共11页
We use the extrapolated Tikhonov regularization to deal with the ill-posed problem of 3D density inversion of gravity gradient data. The use of regularization parameters in the proposed method reduces the deviations b... We use the extrapolated Tikhonov regularization to deal with the ill-posed problem of 3D density inversion of gravity gradient data. The use of regularization parameters in the proposed method reduces the deviations between calculated and observed data. We also use the depth weighting function based on the eigenvector of gravity gradient tensor to eliminate undesired effects owing to the fast attenuation of the position function. Model data suggest that the extrapolated Tikhonov regularization in conjunction with the depth weighting function can effectively recover the 3D distribution of density anomalies. We conduct density inversion of gravity gradient data from the Australia Kauring test site and compare the inversion results with the published research results. The proposed inversion method can be used to obtain the 3D density distribution of underground anomalies. 展开更多
关键词 extrapolated Tikhonov regularization depth weighting gravity gradient tensor eieenvector
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MINER RULE CONSIDERING FUZZINESS OF STRESS DAMAGE UNDER DIFFERENT LOAD SEQUENCES 被引量:7
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作者 王旭亮 聂宏 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2008年第3期182-186,共5页
Since the traditional Miner rule ignores the influence of the load sequence on the fatigue life, the fuzzy rules are used to analyze the fuzziness of the fatigue damage caused by the stress nearby the fatigue limit un... Since the traditional Miner rule ignores the influence of the load sequence on the fatigue life, the fuzzy rules are used to analyze the fuzziness of the fatigue damage caused by the stress nearby the fatigue limit under different load sequences. The improved fuzzy Miner rule can reflect the influence of the load sequence on the fatigue life. Results of the example show that the prediction error can be reduced from 61.6% to 21.7%. 展开更多
关键词 atigue damage fuzzy rules membership functions load sequence Miner rule
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加法表示函数的若干性质
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作者 汤敏 《数学学报(中文版)》 SCIE CSCD 北大核心 2014年第3期601-606,共6页
令A={a_1,a_2,…}(a_1≤a_2≤…)是一个无限非负整数序列.设k≥2是固定的正整数,对n∈N,令R_k(A,n)表示方程a_i_1+…+a_i_k=n解的个数.令R_k^((1))(A,n)及R_k^((2))(A,n)分别表示上述方程带限制条件i_1<…<i_k及i_1≤…≤i_k时解... 令A={a_1,a_2,…}(a_1≤a_2≤…)是一个无限非负整数序列.设k≥2是固定的正整数,对n∈N,令R_k(A,n)表示方程a_i_1+…+a_i_k=n解的个数.令R_k^((1))(A,n)及R_k^((2))(A,n)分别表示上述方程带限制条件i_1<…<i_k及i_1≤…≤i_k时解的个数.最近,陈永高和本文作者证明了如下结果:设d是一个正整数,若对充分大的所有n皆有R_k(A,n)≥d,则R_k(A,n)≥d+2[k/2]!d^(1/2)+([k/2]!)~2对无穷多个n成立.本文获得了R_k^((1))(A,n)及R_k^((2))(A,n)的相关结果. 展开更多
关键词 加法表示函数 有界性 Erdos-Turan猜想
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不确定需求下的冷链分销商最优决策 被引量:29
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作者 郑宇婷 李建斌 +1 位作者 陈植元 明茫茫 《管理科学学报》 CSSCI CSCD 北大核心 2019年第1期94-106,共13页
针对新鲜产品供应链(冷链)中分销商,引入保鲜努力刻画分销商投入的保鲜工作,考虑新鲜产品到达市场的数量与质量,分析冷链分销商的最优决策问题.与前人研究相比,本文使用加法形式需求函数刻画市场需求,并使用相关企业数据验证加法形式需... 针对新鲜产品供应链(冷链)中分销商,引入保鲜努力刻画分销商投入的保鲜工作,考虑新鲜产品到达市场的数量与质量,分析冷链分销商的最优决策问题.与前人研究相比,本文使用加法形式需求函数刻画市场需求,并使用相关企业数据验证加法形式需求函数合理性,完善了冷链分销商决策问题的相关研究.研究发现,当保鲜努力外生时,分销商的最优订货数量和最优零售价格只与保鲜努力有关;当零售价格外生时,分销商的最优保鲜努力与产品实际单位成本关于保鲜努力函数的一阶最优条件有关;当订货数量外生时,分销商制定的零售价格随保鲜努力增加而增大,所获得的利润也随保鲜努力递增,但边际利润随保鲜努力递减.最后,将所得结论应用于中国500强民营企业卓尔控股有限公司旗下的小雪冷链(武汉)物流有限公司,为该公司提供相应的保鲜努力投入策略. 展开更多
关键词 新鲜产品供应链 保鲜努力 加法形式需求函数
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三重约束下随机生产系统的研究
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作者 杨白玫 《上海电机学院学报》 2014年第1期53-57,共5页
绝大多数生产企业在具体生产销售过程中均会遇到3重约束:销售量是关于价格的函数,开机生产时会产生固定成本,单位周期内生产容量有限。为了得出该类生产-销售系统的最优生产和定价策略,可以借助强CK-凹函数的一些性质。这里考虑了一个... 绝大多数生产企业在具体生产销售过程中均会遇到3重约束:销售量是关于价格的函数,开机生产时会产生固定成本,单位周期内生产容量有限。为了得出该类生产-销售系统的最优生产和定价策略,可以借助强CK-凹函数的一些性质。这里考虑了一个加法需求模型,在此基础上建立了一个定期盘点的随机生产-销售系统。通过研究发现,每个阶段的最优生产控制和定价策略的结构可以简单分为4个区间(s,s′,p)策略。 展开更多
关键词 随机生产系统 固定开机成本 有限生产容量 加法需求函数
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Method of Semi Analytic Perturbation Weighted Residuals for Nonlinear Bending of Shallow Shells
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作者 李云飞 黄怡筠 《Journal of Beijing Institute of Technology》 EI CAS 2000年第1期15-19,共5页
The semi? analytic perturbation weighted residuals method was used to solve the nonlinear bending problem of shallow shells, and the fifth order B spline was taken as trial function to seek an efficient method for n... The semi? analytic perturbation weighted residuals method was used to solve the nonlinear bending problem of shallow shells, and the fifth order B spline was taken as trial function to seek an efficient method for nonlinear bending problem of shallow shells. The results from the present method are in good agreement with those derived from other methods. The present method is of higher accuracy, lower computing time and wider adaptability. In addition, the design of computer program is simple and it is easy to be programmed. 展开更多
关键词 shallow shell nonlinear bending perturbation method weighted residuals method spline function
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经济最优化中的动态规划
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作者 陈春坤 李曰玮 《价值工程》 2014年第17期236-238,共3页
本文应用动态规划讨论了线性、非线性最优化问题,并提出了递推方程。
关键词 节点 支路 状态变量 决策变量 指标函数加法 多阶段决策过程
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突发公共卫生安全事件下绿色供应链中制造商的最优决策
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作者 王建华 刘彤 《物流工程与管理》 2022年第5期47-52,共6页
在突发公共卫生安全事件背景下,研究绿色供应链中制造商的最优决策问题。利用加法形式需求函数刻画市场需求,并结合数据进行仿真分析。研究发现:当绿色技术水平外生,且在突发事件后能够保证资金正常投入技术研发时,制造商购买原材料的... 在突发公共卫生安全事件背景下,研究绿色供应链中制造商的最优决策问题。利用加法形式需求函数刻画市场需求,并结合数据进行仿真分析。研究发现:当绿色技术水平外生,且在突发事件后能够保证资金正常投入技术研发时,制造商购买原材料的最优数量和最优销售价格都只与绿色技术水平有关;当销售价格外生时,制造商投入的绿色技术水平与实际单位成本一阶导数的零点有关,且受突发事件的影响,零点的具体数值会变小;当订购原材料数量外生时,制造商的利润和销售价格都与绿色技术水平呈正相关关系,且随绿色技术水平的提升而增加,但受突发事件影响,绿色技术的投入不能一直增加。 展开更多
关键词 绿色供应链 绿色技术水平 产品绿色度 突发公共卫生安全 加法形式需求函数 制造商决策
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Novel Adaptive Weighted Mean Filter
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作者 程学珍 张京钊 程凤菊 《Journal of Measurement Science and Instrumentation》 CAS 2011年第2期116-119,共4页
Based on the advantages and disadvantages of the standard median filter and the standard wean filter, a new Adaptive Weighted Mean Filter(AWFM) was proposed in this paper. The filter window's size of every pixel wa... Based on the advantages and disadvantages of the standard median filter and the standard wean filter, a new Adaptive Weighted Mean Filter(AWFM) was proposed in this paper. The filter window's size of every pixel was adaptively adjusted. Then the suspidons noise points were examined by certain rules. After that, the authors calculate the weighting factors of the pixels by weighting function which was canstructed according to the differences between their gray values and the median value of all elements in the window. Finally they use the weighted average of gray values to substitute the gray value of the central pixel in the window. The results indicate that this filtering method is not only effective for impulse noise like median filter, but also better than the standard median filters. Compared with conventional filter, this filter methed can effectivdy suppress the mixture noise of images, and protect image's details well. 展开更多
关键词 image filter mixed noise weighted mean noise detect tion median jilter
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A Novel High Spectral Efficiency Waveform Coding-OVFDM 被引量:2
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作者 LI Daoben 《China Communications》 SCIE CSCD 2015年第2期61-73,共13页
Based on the Overlapped Multiplexing Principle[12],a frequency domain OVFDM(Overlapped Frequency Domain Multiplexing) Coding is proposed.By the data weighted shift overlapped version of any band-limited Multiplexing T... Based on the Overlapped Multiplexing Principle[12],a frequency domain OVFDM(Overlapped Frequency Domain Multiplexing) Coding is proposed.By the data weighted shift overlapped version of any band-limited Multiplexing Transfer Function H(f) the coding gain and spectral efficiency are both achieved.The heavier the overlap of the data weighted Multiplexing Transfer Function H(f),the higher the coding gain and spectral efficiency as well as the closer the output to the optimum complex Gaussian distribution.The bit error probability performance is estimated.The time domain OVTDM(Overlapped Time Domain Multiplexing) Coding,the dual of OVFDM in time domain is incidentally proposed as well.Both theoretical analysis and testified simulations show that OVFDM(OVTDM) is suitable for high spectral efficiency application and its spectral efficiency is only roughly linear to SNR rather than the well-known logarithm to SNR. 展开更多
关键词 overlapped multiplexing principle frequency domain coding waveform coding spectral efficiency shannon capacity dual relation OVFDM OVTDM
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Heating graphene to incandescence and the measurement of its work function by the thermionic emission method 被引量:6
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作者 Feng Zhu 《Nano Research》 SCIE EI CAS CSCD 2014年第4期553-560,共8页
The work function (WF) of graphene is an essential parameter in graphene electronics. We have derived the WF of graphene by the thermionic emission method. Chemical vapor deposition (CVD)-grown single-layered poly... The work function (WF) of graphene is an essential parameter in graphene electronics. We have derived the WF of graphene by the thermionic emission method. Chemical vapor deposition (CVD)-grown single-layered polycrystalline graphene on copper foil is transferred to a cross-stacked carbon nanotube (CNT) film drawn from a super-aligned multiwalled CNT array. By decreasing the pore size of the CNT film, the as-prepared CNT-graphene film (CGF) can be Joule heated to a temperature as high as 1,800 K in vacuum without obvious destruction in the graphene structure. By studying the thermionic emission, we derive the WF of graphene, ranging from 4.7 to 4.8 eV with the average value being 4.74 eV. Because the substrate influence can be minimized by virtue of the porous nature of the CNT film and the influence of adsorbents can be excluded due to the high temperature during the thermionic emission, the measured WF of graphene can be regarded as intrinsic. 展开更多
关键词 GRAPHENE carbon nanotube thermionic emission work function
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Quantum proxy signature scheme with public verifiability 被引量:6
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作者 ZHOU JingXian ZHOU YaJian +1 位作者 NIU XinXin YANG YiXian 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第10期1828-1832,共5页
In recent years, with the development of quantum cryptography, quantum signature has also made great achievement. However,the effectiveness of all the quantum signature schemes reported in the literature can only be v... In recent years, with the development of quantum cryptography, quantum signature has also made great achievement. However,the effectiveness of all the quantum signature schemes reported in the literature can only be verified by a designated person.Therefore, its wide applications are limited. For solving this problem, a new quantum proxy signature scheme using EPR quantumentanglement state and unitary transformation to generate proxy signature is presented. Proxy signer announces his public key whenhe generates the final signature. According to the property of unitary transformation and quantum one-way function, everyone canverify whether the signature is effective or not by the public key. So the quantum proxy signature scheme in our paper can be publicverified. The quantum key distribution and one-time pad encryption algorithm guarantee the unconditional security of this scheme.Analysis results show that this new scheme satisfies strong non-counterfeit and strong non-disavowal. 展开更多
关键词 quantum cryptography proxy signature quantum one-way function public verifiably
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A MATRIX CONSTRUCTION OF BOOLEAN FUNCTIONS WITH MAXIMUM ALGEBRAIC IMMUNITY 被引量:1
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作者 Yonghong XIE Lei HU 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2012年第4期792-801,共10页
Boolean functions used in a cryptographic system should have high algebraic immunity to resist algebraic attacks. This paper presents a matrix method for constructing balanced Boolean functions achieving maximum algeb... Boolean functions used in a cryptographic system should have high algebraic immunity to resist algebraic attacks. This paper presents a matrix method for constructing balanced Boolean functions achieving maximum algebraic immunity. 展开更多
关键词 Algebraic immunity block upper triangular matrix Boolean function.
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A PENALTY FUNCTION METHOD FOR SOLVING ILL-POSED BILEVEL PROGRAMMING PROBLEM VIA WEIGHTED SUMMATION 被引量:2
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作者 JIA Shihui WAN Zhongping 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2013年第6期1019-1027,共9页
For ill-posed bilevel programming problem,the optimistic solution is always the best decision for the upper level but it is not always the best choice for both levels if the authors consider the model's satisfacto... For ill-posed bilevel programming problem,the optimistic solution is always the best decision for the upper level but it is not always the best choice for both levels if the authors consider the model's satisfactory degree in application.To acquire a more satisfying solution than the optimistic one to realize the two levels' most profits,this paper considers both levels' satisfactory degree and constructs a minimization problem of the two objective functions by weighted summation.Then,using the duality gap of the lower level as the penalty function,the authors transfer these two levels problem to a single one and propose a corresponding algorithm.Finally,the authors give an example to show a more satisfying solution than the optimistic solution can be achieved by this algorithm. 展开更多
关键词 Bilevel programming duality gap penalty function satisfactory degree weighted sum-mation.
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